Li-Cheng Tsai

Junior Fellow of the Simons Society of Fellows

Department of Mathematics at Columbia University
2990 Broadway, New York, NY 10027, USA


Picture of Li-Cheng Tsai

My curriculum vitae.

I am a Junior Fellow of the Simons Society of Fellows, working with Ivan Corwin in the Department of Mathematics at Columbia University in the City of New York.

I am co-organizing the Columbia Probability Seminar.

I received my PhD in Mathematics at Stanford University in 2016, with my PhD advisor Amir Dembo.

My research interest lies in probability theory, particularly asymptotic behaviors of interacting particle systems, with a focus on their interplay between partial differential equations, stochastic partial differential equations, and integrability.



See also Google Scholar.


  1. Moments of the 2D SHE at criticality [arXiv]
    with Yu Gu and Jeremy Quastel. Submitted
  2. Exact lower tail large deviations of the KPZ equation [arXiv]
  3. SPDE Limit of Weakly Inhomogeneous ASEP [arXiv]
    with Ivan Corwin. Submitted
  4. Stochastic PDE Limit of the Six Vertex Model [arXiv]
    with Ivan Corwin, Promit Ghosal, and Hao Shen. Submitted

Published / To appear

  1. Another look into the Wong-Zakai Theorem for Stochastic Heat Equation [arXiv]
    with Yu Gu. To appear in Ann. Appl. Probab.
  2. Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model [arXiv]
    with Hao Shen. Proceedings of the AMS 2685–2705 147(6) 2685–2705, 2019
  3. Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process [arXiv]
    with Stefano Olla. Electron. J. Probab. 24 (16), 2019
  4. Criticality of a randomly-driven front [arXiv][SN SharedIt]
    with Amir Dembo. Arch. Rational Mech. Anal. 233 (2), 643–699, 2019
  5. Coulomb-gas electrostatics controls large fluctuations of the KPZ equation [arXiv]
    with Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink, and Pierre Le Doussal.
    Phys. Rev. Lett. 121, 060201 (2018)
  6. Stationary Distributions of the Atlas Model [arXiv]
    Electron. C. Probab. 23 (10), 2018
  7. ASEP(q,j) converges to the KPZ equation [arXiv]
    with Ivan Corwin and Hao Shen. Ann. Inst. Henri Poincare (B) Probab. Stat. 54(2) 995-1012, 2018
  8. Optimal Surviving Strategy for Drifted Brownian Motions with Absorption [arXiv]
    with Wenpin Tang. Ann. Prob. 46 (3) 1597-1650, 2018
  9. Stationary Gap Distributions for Infinite Systems of Competing Brownian Particles [arXiv][MR]
    with Andrey Sarantsev. Electron. J. Probab. 22 (56), 2017
  10. Equilibrium Fluctuation of the Atlas Model [arXiv][MR]
    with Amir Dembo. Ann. Prob. 45 (6B) 4529-4560, 2017
  11. KPZ equation limit of higher-spin exclusion processes [arXiv][MR]
    with Ivan Corwin. Ann. Prob. 45 (3) 1771-1798, 2017
  12. Infinite Dimensional Stochastic Differential Equations for Dyson's Model [arXiv][MR][SN SharedIt]
    Probab. Theory Related Fields. 166 (3) 801-850, 2016
  13. Weakly asymmetric non-simple exclusion process and the KPZ equation [arXiv][MR]
    with Amir Dembo. Comm. Math. Phys. 341 (1), 219-261, 2016
  14. Equilibrating effects of boundary and collision in rarefied gases [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 328 (2), 421-480, 2014
  15. Free molecular flow with boundary effect [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 318 (2), 375-409, 2013
  16. Viscous shock propagation with boundary effect [MR]
    Bull. Inst. Math. Acad. Sin. (N.S.) 6, 1-26, 2011


  • Fall 2017-18, MATH 1102: Calculus II